在公共产品游戏中的合作不需要分类,取决于人口密度
Adél Károlyi1,2, István Scheuring3
1Department of Zoology, University of Veterinary Medicine, Budapest, Rottenbiller utca 50, Hungary.
Journal of evolutionary biology
|March 9, 2024
概括
在混合人口中,门公共产品游戏仍然通常包括合作者和叛逃者. 人口密度的下降最初会促进合作,但关键密度的下降会导致合作者突然消失.
科学领域:
- 进化游戏理论 进化游戏理论
- 数学生物学 数学生物学
- 社会困境 社会困境
背景情况:
- 门公共产品游戏模型非线性社会困境.
- 在结构化的 deme 模型中,合作者与叛逃者的共存是常见的.
- 以前的模型通常假定人口结构,限制了概括性.
研究的目的:
- 开发一个动态的模型,为N玩家游戏没有 deme. 结构.
- 调查混合群体中的合作动态.
- 分析人口密度和波动对合作的影响.
主要方法:
- 开发了一个一般的N-player动态模型,用于没有deme结构的游戏.
- 分析了确定性极限,揭示了复制器动态.
- 嵌入密度依赖和波动到模型中.
- 采用分析和数值方法进行调查.
主要成果:
- 该模型复制了结构化 deme 动态在确定性极限的混合群体.
- 人口密度下降增加了合作者频率,直到固定.
- 人口密度处于一个临界点,低于这个点,合作者突然消失.
- 微弱的密度波动增强了合作,而强大的波动则抑制了合作.
结论:
- 合作者-叛逃者共存在值公共产品游戏中是强大的,即使在混合人口中也是如此.
- 人口密度是影响合作水平的关键因素.
- 密度波动对合作有微妙的影响,较弱的波动是有益的,较强的波动是有害的.
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